Extremal solutions to Liouville–Gelfand type elliptic problems with nonlinear Neumann boundary conditions
From MaRDI portal
Publication:4983009
DOI10.1142/S0219199714500163zbMath1314.35054MaRDI QIDQ4983009
Publication date: 14 April 2015
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)
Related Items (1)
Cites Work
- Gelfand type elliptic problems under Steklov boundary conditions
- The extremal solution of a boundary reaction problem
- Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions
- Some continuation and variational methods for positive solutions of nonlinear elliptic eigenvalue problems
- Weak eigenfunctions for the linearization of extremal elliptic problems
- Complete blow up and global behaviour of solutions of \(u_t- \Delta u=g(u)\)
- Semi-linear second-order elliptic equations in \(L^1\)
- Boundedness of extremal solutions in dimension 4
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Regularity of minimizers of semilinear elliptic problems up to dimension 4
- Sur une classe de problemes non lineaires avec non linearite positive, croissante, convexe.
- Regularity of the extremal solution of semilinear elliptic equations
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
This page was built for publication: Extremal solutions to Liouville–Gelfand type elliptic problems with nonlinear Neumann boundary conditions
